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71057174500 = 22531365316741
BaseRepresentation
bin100001000101101010…
…1100110111111100100
320210102002121110122201
41002023111212333210
52131011114041000
652350533504244
75063602006024
oct1021325467744
9223362543581
1071057174500
1128153a16a04
1211930aa2084
1369154826b0
1436211a7a84
151cad33796a
hex108b566fe4

71057174500 has 96 divisors (see below), whose sum is σ = 167392409184. Its totient is φ = 26194752000.

The previous prime is 71057174471. The next prime is 71057174557. The reversal of 71057174500 is 547175017.

It can be written as a sum of positive squares in 16 ways, for example, as 51544437156 + 19512737344 = 227034^2 + 139688^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71057174500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4236130 + ... + 4252870.

It is an arithmetic number, because the mean of its divisors is an integer number (1743670929).

Almost surely, 271057174500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71057174500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83696204592).

71057174500 is an abundant number, since it is smaller than the sum of its proper divisors (96335234684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71057174500 is a wasteful number, since it uses less digits than its factorization.

71057174500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17426 (or 17414 counting only the distinct ones).

The product of its (nonzero) digits is 34300, while the sum is 37.

The spelling of 71057174500 in words is "seventy-one billion, fifty-seven million, one hundred seventy-four thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 653 1300 1306 1625 2612 3250 3265 6500 6530 8489 13060 16325 16741 16978 32650 33482 33956 42445 65300 66964 81625 83705 84890 163250 167410 169780 212225 217633 326500 334820 418525 424450 435266 837050 848900 870532 1061125 1088165 1674100 2092625 2122250 2176330 4185250 4244500 4352660 5440825 8370500 10881650 10931873 21763300 21863746 27204125 43727492 54408250 54659365 108816500 109318730 142114349 218637460 273296825 284228698 546593650 568457396 710571745 1093187300 1366484125 1421143490 2732968250 2842286980 3552858725 5465936500 7105717450 14211434900 17764293625 35528587250 71057174500